Computing secure key rates for quantum key distribution with untrusted devices

Abstract

Device-independent quantum key distribution (DIQKD) provides the strongest form of secure key exchange, using only the input-output statistics of the devices to achieve information-theoretic security. Although the basic security principles of DIQKD are now well-understood, it remains a technical challenge to derive reliable and robust security bounds for advanced DIQKD protocols that go beyond the previous results based on violations of the CHSH inequality. In this work, we present a framework based on semi-definite programming that gives reliable lower bounds on the asymptotic secret key rate of any QKD protocol using untrusted devices. In particular, our method can in principle be utilized to find achievable secret key rates for any DIQKD protocol, based on the full input-output probability distribution or any choice of Bell inequality. Our method also extends to other DI cryptographic tasks.

Improved proof of strong duality. Close to published version

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• Device-independent lower bounds on the conditional von Neumann entropy
• Quantum Correlations in the Minimal Scenario
• Neural network-based prediction of the secret-key rate of quantum key distribution
• Steering-enhanced quantum metrology using superpositions of noisy phase shifts
• Device-independent quantum key distribution with arbitrarily small nonlocality
• Quantum key distribution rates from semidefinite programming
• Simple and practical DIQKD security analysis via BB84-type uncertainty relations and Pauli correlation constraints
• Boosting device-independent cryptography with tripartite nonlocality
• Receiver-Device-Independent Quantum Key Distribution Protocols
• Improved device-independent randomness expansion rates using two sided randomness
• Numerical Method for Finite-size Security Analysis of Quantum Key Distribution
• Measurement device-independent quantum key distribution with passive, time-dependent source side-channels
• Upper bounds on device-independent quantum key distribution rates in static and dynamic scenarios
• Automated design of quantum optical experiments for device-independent quantum key distribution
• The future of secure communications: device independence in quantum key distribution
• Device independent security of quantum key distribution from monogamy-of-entanglement games
• Entropic uncertainty relations for multiple measurements assigned with biased weights
• Upper bounds on key rates in device-independent quantum key distribution based on convex-combination attacks
• The Schmidt rank for the commuting operator framework
• Optimising the relative entropy under semidefinite constraints
• Composable framework for device-independent state certification
• Device Independent Quantum Key Activation